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2. Find the equation of the tangent line to the ellipse z? - zy+y2 = 3...
(3 points) Find the slope of the tangent line to: a. the parabola y2 = 8c at the point (9,6); m = b. the ellipse 2? + $y? = 1 at the point (V14,1); m= -2sqrt(14) c. the hyperbola x² - y2 = 1 at the point (V3,V2). m
2. Use Definition to find the equation of the tangent line to the graph of the equation y- 1/2 at -2 3. Find the points on the graph of y2-/2 at which the tangent line is parallel to the line y - 3. 4. Sketch the graph of a continuous function f that satisfies all of the stated conditions. f(0) 2, f(-2)- (2)-0, f(-2) f(O)-f'(2)-0 f"(z) > o if-2<zco, f,(z) < 0 if <-2 or x > 0;
2. Use...
(1 point) The graph of the equation 2? + ry + y2 = 3 is an ellipse lying obliquely in the plane, as illustrated in the figure below. a. Computer aligne = (-2x+y)(x+2y) . . b. The ellipse has two horizontal tangents. Find an equation of the upper one. The upper horizontal tangent line is defined by the equation y= c. The ellipse has two vertical tangents. Find an equation of the rightmost one. The rightmost vertical tangent line is...
12. - 11 points Y LARCALC9 2.5.031. Find the slope of the tangent line to the graph at the given point. (x2 + y2)2 = 4x?y, (1,1) Bifolium: (1,1) 10.5 -0.2 Need Help? Read It Watch it Talk to a Tutor Find an equation of the tangent line to the graph at the given point. 3(x2 + y2)2 = 100(x2 - y2), (-4,-2) Lemniscate Need Help? Read It Watch It Talk to a Tutor HEO Type here to search lenovo
Find an equation of the line tangent to the curve at the point corresponding to the given value of t. 71 x= cost+t sint, y=sint-tcost;t=4 (Type an equation. Simplify your answer. Type your answer in slope-intercept form. Type an exact answer. Use integers or fractions for any numbers in the equation.)
Find the equation of the tangent line to the curve y = 2x cos z at the point (TT, - 2). The equation of this tangent line can be written in the form y = mx + b where m = and b=
2. Find the equation of the tangent line to f(x)=- V13 - 3x at the point x = -3. Express slope and coordinates using exact (radical) form or if using decimal fractions round to at least 3 decimal places. You may leave your equation in point-slope form to save time. (4 points)
3. Find the equation of the tangent line to the graph of f(x) = 3x" – 38x that is perpendicular to the line x - 2y = 6. Express slope and coordinates using exact (radical) form or if using decimal fractions round to at least 3 decimal places. You may leave your equation in point-slope form to save time. (4 points)
2. Find the slope of the tangent line to f(x, y) 6-x2 + xy - y2 at (4, 2), toward the point (7, 1). Then find the maximum slope and its direction
2. Find the slope of the tangent line to f(x, y) 6-x2 + xy - y2 at (4, 2), toward the point (7, 1). Then find the maximum slope and its direction
3. (10 points) Find the equation of the tangent line to the curve x² + xy + y2 = 3 at the point (1,1).